## Projective curvature tensor in 3-dimensional connected trans-Sasakian manifolds.(English)Zbl 1365.53030

Summary: The object of the present paper is to study $$\xi$$-projectively flat and $$\phi$$-projectively flat 3-dimensional connected trans-Sasakian manifolds. Also we study the geometric properties of connected trans-Sasakian manifolds when it is projectively semi-symmetric. Finally, we give some examples of a 3-dimensional trans-Sasakian manifold which verifies our result.

### MSC:

 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
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### References:

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